The premier was left waiting on Zia's doorstep, only to be told later that the grieving mother of Arafat Rahman Koko - who died of a heart attack in Malaysia yesterday - was "put to sleep by doctors".
Shameem Iskander, younger brother of the BNP chief, along with two others left early today for Malaysia to bring the body of the self-exiled 45-year-old Koko.
In live footages, local television channels showed Hasina's motorcades, escorted by high security, standing in front of Zia's office in the upmarket Gulshan district here.
"She became unwell after hearing the tragic death of her son. We gave her medicine and she went to sleep.
More From This Section
"We've requested the Prime Minister to come at another time as she was asleep," Zia's private secretary Shimul Biswas said.
Earlier, Khaleda's Special Aide Shamsur Rahman Shimul Biswas had told reporters that the doctors had sedated the BNP chief and that Khaleda will not be able to meet the prime minister.
Meanwhile, a spokesperson for Zia said that the former prime minister thanked Hasina for the gesture.
"She broke all protocols. She came here as the prime minister, a leader and as a mother to console a mother who had lost her son. She stood there for five minutes but she was not allowed to enter," said Hasina's Information Affairs Adviser Iqbal Sobhan Chowdhury.
The two leaders last met in 2009 when Zia visited Hasina after the death of Hasina's her husband Wazed Mia.
The Bangladesh Nationalist Party (BNP) chief has been spearheading a massive anti-government campaign enforcing a violent nationwide blockade since January 6, after she was confined to her Gulshan office and kept away from joining a protest rally to mark the first anniversary of the last year's divisive January 5 elections.